Congruent and Similar Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that have the same size and shape. They can be superimposed on each other.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but different sizes. Their corresponding angles are equal, and their sides are in proportion.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If two figures are congruent, what can be said about their corresponding sides?

Back

The corresponding sides of congruent figures are equal in length.

Front

What is the relationship between the sides of similar figures?

Back

The lengths of the corresponding sides of similar figures are proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

True or False: Congruent figures can be different shapes.

Back

False. Congruent figures must be the same shape and size.

Front

What is the measure of angle y if two congruent figures have an angle of 49.5 degrees?

Back

Angle y measures 49.5 degrees.

Front

If two figures are similar and one has a side length of 12 cm, what could be a possible side length of the other figure?

Back

A possible side length could be 18 cm if the scale factor is 1.5.

Front

What is a scale factor in similar figures?

Back

A scale factor is the ratio of the lengths of corresponding sides of two similar figures.